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Author: Yuming Jiang
Publisher: Springer Science & Business Media
ISBN: 1848001274
Category : Computers
Languages : en
Pages : 240
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Book Description
Network calculus is a theory dealing with queuing systems found in computer networks. Its focus is on performance guarantees. Central to the theory is the use of alternate algebras such as the min-plus algebra to transform complex network systems into analytically tractable systems. To simplify the ana- sis, another idea is to characterize tra?c and service processes using various bounds. Since its introduction in the early 1990s, network calculus has dev- oped along two tracks—deterministic and stochastic. This book is devoted to summarizing results for stochastic network calculus that can be employed in the design of computer networks to provide stochastic service guarantees. Overview and Goal Like conventional queuing theory, stochastic network calculus is based on properly de?ned tra?c models and service models. However, while in c- ventional queuing theory an arrival process is typically characterized by the inter-arrival times of customers and a service process by the service times of customers, the arrival process and the service process are modeled in n- work calculus respectively by some arrival curve that (maybe probabilis- cally) upper-bounds the cumulative arrival and by some service curve that (maybe probabilistically) lower-bounds the cumulative service. The idea of usingboundstocharacterizetra?candservicewasinitiallyintroducedfor- terministic network calculus. It has also been extended to stochastic network calculus by exploiting the stochastic nature of arrival and service processes.
Author: Yuming Jiang
Publisher: Springer Science & Business Media
ISBN: 1848001274
Category : Computers
Languages : en
Pages : 240
Get Book Here
Book Description
Network calculus is a theory dealing with queuing systems found in computer networks. Its focus is on performance guarantees. Central to the theory is the use of alternate algebras such as the min-plus algebra to transform complex network systems into analytically tractable systems. To simplify the ana- sis, another idea is to characterize tra?c and service processes using various bounds. Since its introduction in the early 1990s, network calculus has dev- oped along two tracks—deterministic and stochastic. This book is devoted to summarizing results for stochastic network calculus that can be employed in the design of computer networks to provide stochastic service guarantees. Overview and Goal Like conventional queuing theory, stochastic network calculus is based on properly de?ned tra?c models and service models. However, while in c- ventional queuing theory an arrival process is typically characterized by the inter-arrival times of customers and a service process by the service times of customers, the arrival process and the service process are modeled in n- work calculus respectively by some arrival curve that (maybe probabilis- cally) upper-bounds the cumulative arrival and by some service curve that (maybe probabilistically) lower-bounds the cumulative service. The idea of usingboundstocharacterizetra?candservicewasinitiallyintroducedfor- terministic network calculus. It has also been extended to stochastic network calculus by exploiting the stochastic nature of arrival and service processes.
Author: Hideaki Takagi
Publisher: North Holland
ISBN:
Category : Computers
Languages : en
Pages : 880
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Book Description
Analytical techniques for evaluating the performance of computer and communication systems have evolved hand in hand with the progress in these systems since the late 1960's, and an enormous amount of knowledge has been accumulated in this interplay of applied mathematics and computer science. This book includes nineteen lengthy surveys of the state of the art of performance evaluation techniques, and an extensive bibliography. The topics include stochastic processes and queueing theory applied to performance analysis, and performance models of computer systems and communication networks. Articles have been contributed by leading scientists from five continents.
Author: Reinhard German
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 466
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Book Description
Algorithm 396 A.4.6 General Execution Policies 398 A.5 Transient Analysis of DSPNs 401 A.5.1 Solution Algorithm for Periodic DSPNs 401 A.5.2 Solution Algorithm for Non-periodic DSPNs 403 List of Abbreviations 407 Glossary of Notation 411 References 419 Index 433.
Author: R. Srikant
Publisher: Cambridge University Press
ISBN: 1107036054
Category : Computers
Languages : en
Pages : 365
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Book Description
A modern mathematical approach to the design of communication networks for graduate students, blending control, optimization, and stochastic network theories alongside a broad range of performance analysis tools. Practical applications are illustrated by making connections to network algorithms and protocols. End-of-chapter problems covering a range of difficulties support student learning.
Author: Frank Kelly
Publisher: Cambridge University Press
ISBN: 1107035775
Category : Computers
Languages : en
Pages : 233
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Book Description
A compact, highly-motivated introduction to some of the stochastic models found useful in the study of communications networks.
Author: Michael Neely
Publisher: Springer Nature
ISBN: 303179995X
Category : Computers
Languages : en
Pages : 199
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Book Description
This text presents a modern theory of analysis, control, and optimization for dynamic networks. Mathematical techniques of Lyapunov drift and Lyapunov optimization are developed and shown to enable constrained optimization of time averages in general stochastic systems. The focus is on communication and queueing systems, including wireless networks with time-varying channels, mobility, and randomly arriving traffic. A simple drift-plus-penalty framework is used to optimize time averages such as throughput, throughput-utility, power, and distortion. Explicit performance-delay tradeoffs are provided to illustrate the cost of approaching optimality. This theory is also applicable to problems in operations research and economics, where energy-efficient and profit-maximizing decisions must be made without knowing the future. Topics in the text include the following: - Queue stability theory - Backpressure, max-weight, and virtual queue methods - Primal-dual methods for non-convex stochastic utility maximization - Universal scheduling theory for arbitrary sample paths - Approximate and randomized scheduling theory - Optimization of renewal systems and Markov decision systems Detailed examples and numerous problem set questions are provided to reinforce the main concepts. Table of Contents: Introduction / Introduction to Queues / Dynamic Scheduling Example / Optimizing Time Averages / Optimizing Functions of Time Averages / Approximate Scheduling / Optimization of Renewal Systems / Conclusions
Author: Christos G. Cassandras
Publisher: CRC Press
ISBN: 1420008544
Category : Technology & Engineering
Languages : en
Pages : 301
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Book Description
Because they incorporate both time- and event-driven dynamics, stochastic hybrid systems (SHS) have become ubiquitous in a variety of fields, from mathematical finance to biological processes to communication networks to engineering. Comprehensively integrating numerous cutting-edge studies, Stochastic Hybrid Systems presents a captivating treatment of some of the most ambitious types of dynamic systems. Cohesively edited by leading experts in the field, the book introduces the theoretical basics, computational methods, and applications of SHS. It first discusses the underlying principles behind SHS and the main design limitations of SHS. Building on these fundamentals, the authoritative contributors present methods for computer calculations that apply SHS analysis and synthesis techniques in practice. The book concludes with examples of systems encountered in a wide range of application areas, including molecular biology, communication networks, and air traffic management. It also explains how to resolve practical problems associated with these systems. Stochastic Hybrid Systems achieves an ideal balance between a theoretical treatment of SHS and practical considerations. The book skillfully explores the interaction of physical processes with computerized equipment in an uncertain environment, enabling a better understanding of sophisticated as well as everyday devices and processes.
Author: Lorenzo Donatiello
Publisher: Springer Science & Business Media
ISBN: 9783540572978
Category : Computers
Languages : en
Pages : 692
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Book Description
This volume contains the complete set of tutorial papers presented at the 16th IFIP (International Federation for Information Processing) Working Group 7.3 International Symposium on Computer Performance Modelling, Measurement and Evaluation, and a number of tutorial papers presented at the 1993 ACM (Association for Computing Machinery) Special Interest Group METRICS Conference on Measurement and Modeling of Computer Systems. The principal goal of the volume is to present an overview of recent results in the field of modeling and performance evaluation of computer and communication systems. The wide diversity of applications and methodologies included in the tutorials attests to the breadth and richness of current research in the area of performance modeling. The tutorials may serve to introduce a reader to an unfamiliar research area, to unify material already known, or simply to illustrate the diversity of research in the field. The extensive bibliographies guide readers to additional sources for further reading.
Author: Hans Daduna
Publisher: Springer Science & Business Media
ISBN: 3540423575
Category : Business & Economics
Languages : en
Pages : 144
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Book Description
Building on classical queueing theory mainly dealing with single node queueing systems, networks of queues, or stochastic networks has been a field of intensive research over the last three decades. Whereas the first breakthrough in queueing network theory was initiated by problems and work in operations research, the second breakthrough, as well as subsequent major work in the area, was closely related to computer science, particularly to performance analysis of complex systems in computer and communication science. The text reports on recent research and development in the area. It is centered around explicit expressions for the steady behavior of discrete time queueing networks and gives a moderately positive answer to the question of whether there can be a product form calculus in discrete time. Originating from a course given by the author at Hamburg University, this book is ideally suited as a text for courses on discrete time stochastic networks.
Author: Thomas G. Robertazzi
Publisher: Springer Science & Business Media
ISBN: 9780387950372
Category : Mathematics
Languages : en
Pages : 428
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Book Description
Intended for a first course in performance evaluation, this is a self-contained treatment covering all aspects of queuing theory. It starts by introducing readers to the terminology and usefulness of queueing theory and continues by considering Markovian queues in equilibrium, Littles law, reversibility, transient analysis, and computation, plus the M/G/1 queuing system. It then moves on to cover networks of queues, and concludes with techniques for numerical solutions, a discussion of the PANACEA technique, discrete time queueing systems and simulation, and stochastic Petri networks. The whole is backed by case studies of distributed queueing networks arising in industrial applications. This third edition includes a new chapter on self-similar traffic, many new problems, and solutions for many exercises.
